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2 years ago

How many is 5/7 of 22

Mathematics

2 answers:

Nadya [2.5K]2 years ago

7 0

Err I believe you would do 5/7 * 22 = <span>15.7142857143. Hope this helps</span>

lorasvet [3.4K]2 years ago

7 0

5/ 7 * 22 = 110/7 = 15 5/7 Answer

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One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 8 hours. How long will it take the pipe to f

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Answer:

24 hours

Step-by-step explanation:

Let x represent the time required to fill both pipes if they are left open

1/6 + (-1/8)= 1/x

1/6 - 1/8= 1/x

Divide through by 48

48(1/6) -48(1/8) = 48(1/x)

8 - 6 = 48 x

2= 48/x

2x= 48

x= 48/2

x= 24

Hence it will take 24 hours to fill the pipe if the drain is left open

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Answer: In terms of percent, the salinity of most sea water is between 2.5 and 4.5

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The state highway department is studying traffic patterns on one of the busiest highways in the state. As part of the study, the

larisa86 [58]

Answer:

The need to sample 76 days.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

How many days do they need to sample

We need to sample n days.

n is found when M = 300.

We have that $\sigma = 1010$

$M = z*\frac{\sigma}{\sqrt{n}}$

$300 = 2.575*\frac{1010}{\sqrt{n}}$

$300\sqrt{n} = 2.575*1010$

$\sqrt{n} = \frac{2.575*1010}{300}$

$(\sqrt{n})^{2} = (\frac{2.575*1010}{300})^{2}$

$n = 75.1$

Rounding up

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2 years ago

While Sam was at work, his house lost electrical power. By the time the electrical power came back on, the temperature inside th

Lunna [17]

A) 30 minutes after the air conditioner started to cool the house, the temperature inside the house has dropped to 76°F

B) $f(x)=-0.4x+88$

Step-by-step explanation:

In this problem, f(x) represents temperature, in degrees Fahrenheit, of Sam’s house x minutes after the air conditioner started to cool the house.

So we have:

x = minutes after the air conditioner started to cool the house

f(x) = temperature

Here we want to find what is the meaning of

$f(30)=76$

Which implies that:

$x=30$ , which means that 30 minutes have passed after the conditioner has started to cool the house

$f(x)=76$ , which means that the temperature of the room at that time is 76°F

So, the interpretation of f(30) =76 is that:

"30 minutes after the air conditioner started to cool the house, the temperature inside the house has dropped to 76°F"

Here we want to write explicitely a function that tells us how the temperature inside the house varies as a function of x, the number of minutes passed after the air conditioner has turned on.

We know the following information:

- At time x = 0, the temperature inside the house is 88°F

- At time x = 30 min, the temperature inside the hosue is 76°F

We can assume that the temperature inside the house changes linearly with time; so, we can describe the temperature function with the equation of a line:

$f(x)=mx+q$

where

$q$ is the value of the temperature at x = 0, so q = 88

m is the rate of change of the temperature

The rate of change can be found by calculating the rate of change of the temperature with respect to the change in time; so we find:

$m=\frac{76-88}{30-0}=-0.4$

which means that the temperature decreases by 0.4°F every minute. So, the function can be written as

$f(x)=-0.4x+88$

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2 years ago